The Study of Zero-Spin Isotopes with the Modified Manning- Rosen Potential by Relativistic Cluster Models

Abstract

In this paper, we studied the zero-spin isotopes with N=Z and A=4n in relativistic cluster models as a system which can be considered to be composed of α-particles. For interaction between the clusters, we use modified Manning-Rosen potentials and solve the relativistic Klein-Gordon (KG) equation using the Nikiforov-Uvarov (NU) method to calculate the energy spectrum. We found the ground state energy and the first excited energy. Finally, the calculated results are compared with the experimental data for light nuclei, such as ⁸Be, ¹²C and ¹⁶O. The results show that the modified Manning-Rosen (MR) potential is adaptable for cluster interactions.

PACS codes: 21.60.Gx.

Keywords: Zero-spin isotopes, Modified MR potential, KG equation, Cluster model.